Giaỉ các phương trình lượng giác sau:
1. 2sin2x+3sinx=3cosx
2. sin2x-4(sinx-cosx)=4
3. (1+sinx)(1+cosx)=2
4. 2(sinx-cosx)-sin2x-1=0
5. sinx-cosx+4sinxcosx+1=0
6. sinx=2cos\(^3\)x
7. cosx=2sin\(^3\)x
8. 2cos\(^3\)x=sin3x
Dạng: Phương trình bậc nhất đối với sinx và cosx:
Giaỉ các phương trình sau:
1.\(\sqrt{3}\) sin x-cos x+\(\sqrt{2}\) =0
2. 3sin2x+2cos2x=3
3. \(\sqrt{3}\) sinx -3cosx=\(\sqrt{6}\)
4.\(\sqrt{3}\) sinx-cosx+\(\sqrt{2}\) =0
Change the following sentences into reported speech
1.The woman sai:"When will I return home"
2."Listen carefully"she said to us.
3.He asked me:"Why didn't you come here yesterday?"
4."I'd get up early if I were you"She said to me.
5."Why don't we go for a walk?"said Mary
6."Would you like some coffee?"He said to me.
7."Do what you like".Said Tom to Mary.
8.He said"Where are you going,Miss Black?"
9.The policeman said to the boy:"You stole the bicycle."
10.The boy said:"I did not steal the bicycle"
11."Have you finished your work yet?"Lan asks me.
12.The boy said to his mother:"I will study harder to make you happy."
13."Yesterday I didn't go to school because I was tired."He said.
14."What are you doing at the moment , Lan?"Her mother said.
15."Do you go to school today?"asked the father.
Rewrite the following sentences using the words given in brackets
1.Would you mind waiting for a moment?
=>Would you please........................................
2.I'd rather read books than watch television.
=>I prefer reading.......................................
3.The film star wore dark glasses so that no one would recognize him.
=>The film star avoided.............................
4.I felt it had been a mistake to write a letter.
=>I regretted ever......................................
5.He was sorry that he didn't see Ann on her trip to London.
=>He greatly..............................................
6."Were I you, I wouldn't trust Peter," she told John
=>She advised......................................
7.It's pointless to have that old typewriter repaired.
=>The old typewriter is not.............................
8.She admitted that she had taken the necklace.
=>She admitted.....................................
9.I was going to leave,but because of what she said,I didn't
=>She persuaded........................................
10."Why don't we share the cost"said my friend.
=>My friend suggested....................................
11.They spent these days solving that problem.
=>It took.....................................................